Problem 9-14 (Algorithmic) Davison Construction Company is building a luxury lakefront home in the Finger Lakes region of New York. Coordination of the architect and subcontracte will require a major effort to meet the 44-week (approximately 10-month) completion date requested by the owner. The Davison project manager prepa the following project network: Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows: Activity Optimistic Most Probable Pessimistic Previous Next Estimates of the optimistic, most probable, and pessimistic times (In weeks) for the activities are as follows: Activity Optimistic Most Probable Pessimistic I am on un coNNw v coa u If required, round your answers to two decimal places. a. Find the critical path. Activity Expected Time Variance If required, round your answers to two decimal places. a. Find the critical path. Activity Expected Time I am mo Earliest Latest Earliest Latest Activity Start Start Finish Finish Latest Earliest Earliest Start Latest Finish Critical Activity Activity Start Finish Critical Path: A-C-E-G-H b. What is the expected project completion time? weeks. c. Based only on the critical path, what is the estimated probability the project can be completed in the 44 weeks as requested by the owner? O= If necessary, round your answers to two decimal places. Using the normal distribution, sign before the number. if necessary, round your answers to two decimal places. If negative answer is required, enter the minus Probability of 44 weeks or less is if necessary, round your answers to four decimal places. Note: Use Appendix B to identify the probability. d. Based only on the critical path, what is the estimated probability the building project could run more than 3 months late? Use 57 weeks for this calculation. If necessary, round your answers to two decimal places. If negative answer is required, enter the minus Using the normal distribution, z = sign before the number. Probability of 57 weeks or less is . If necessary, round your answers to four decimal places. Note: Use Appendix B to identify the probability. Probability of more than 57 weeks is If necessary, round your answers to four decimal places. e. What should the construction company tell the owner the project will take longer than 13 It is very that the project can be completed in 10 months. But it is also months. Therefore, Davison Construction might prefer to tell the owner that the best estimate is